The behavior of interacting electrons in quantum wires is an important problem in condensed matter physics. In one dimension, interactions destroy the Fermi surface, and the elementary excitations are no longer the quasiparticles of Fermi liquid theory. Instead, electrons in one dimension are described by Luttinger liquid theory. The elementary excitations of a Luttinger liquid are collective density waves that separate into spin and charge modes which propagate at different velocities. I will use three different Quantum Monte Carlo techniques to study interacting electrons in a quantum wire in the ground state and at finite temperature.
P.S.: Abhijit passed his Preliminary Exam 3 days after he gave this talk. Congratulations!